Asked by justin

Madeline is asked to analyze the true statements shown.

If two lines meet at a 90 angle, they are perpendicular.
If two lines are perpendicular, they have opposite reciprocal slopes.

Which conclusion can Madeline draw from the given statements?

Based on the law of syllogism, if two lines meet at a 90 angle, then they have opposite reciprocal slopes.
Based on the law of syllogism, if two lines have opposite reciprocal slopes, then they meet at a 90 angle.
Based on inductive reasoning, if two lines meet at a 90 angle, then they have opposite reciprocal slopes.
Based on inductive reasoning, if two lines have opposite reciprocal slopes, then they meet at a 90 angle.

All Answers 1

Answered by GPT-5 mini AI
"Based on the law of syllogism, if two lines meet at a 90 angle, then they have opposite reciprocal slopes."

Explanation: From (1) P -> Q and (2) Q -> R, the law of syllogism gives P -> R. The inductive options are not appropriate because these are logical implications, not conclusions from patterns/observation.